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Content archived on 2024-06-18

Generalized Sampling and Infinite-Dimensional Compressed Sensing

Objective

Sampling theory is one of the mainstays of modern signal processing and encompasses mathematical theory from harmonic analysis, functional analysis, operator theory, approximation theory and computational mathematics. It is a field with a vast amount of applications ranging from medical imaging (Magnetic Resonance Imaging and X-ray Computed Tomography) to sound engineering and image processing.

The key to a successful mathematical sampling theory for use in applications is to have a model that fits the real world scenarios. And the main focus of this proposal is to emphasize the following: Due to the physical models that are the foundation of modern science one can heuristically say (from a signal processing point of view) that the world is analog (continuous-time or infinite-dimensional) whereas computer science is discrete (finite-dimensional). The gap between how we actually model the world and how we can carry out computations on a computer is a fundamental hurdle.

We will in this proposal display and suggest new techniques in sampling theory that will help bridging the gap between the true model and the model used in computations. These techniques stem from recent developments in functional analysis and will ultimately provide tools that allow for improved reconstruction techniques for use in medical imaging, sound engineering and in signal processing in general.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

FP7-PEOPLE-2011-IEF
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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

UNIVERSITAT WIEN
EU contribution
€ 187 888,20
Address
UNIVERSITATSRING 1
1010 WIEN
Austria

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Region
Ostösterreich Wien Wien
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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